I'm curious how to determine whether two datasets are statistically similar from a two-sample t-test (ttest2). I understand that the result gives the decision to reject (1) or accept (0) the null hypothesis, but how does the null hypothesis decision give statistical significance?
Here's an example: If I have two thermometers (A and B) that record temperature at the same location (but at different sampling frequencies) for one year, I would get two time series that should look similar but have a different number of data points. Using h = ttest2(A,B,'Vartype','unequal') h would be either 0 or 1.
Given the null hypothesis of: "the data in vectors A and B comes from independent random samples from normal distributions with equal means and equal but unknown variances"(from https://www.mathworks.com/help/stats/ttest2.html ), wouldn't rejection of this hypothesis mean that the datasets are NOT correlated with statistical significance? If so, does 0 represent high correlation in this case?
Thanks for your help.
